Re: A simple undiagonalisable list - ILLUSTRATED
- From: "HERC777" <herc777@xxxxxxxxxxx>
- Date: 14 May 2005 18:50:14 -0700
George wrote
>HERC777 wrote:
>> i.e. the property should hold for all
>> permutations of elements of the
>> list.
>
>Well, it doesn't.
Given any list using elements only from k/9, 0<=k<=9
e.g.
0.44444444..
0.66666666..
0.22222222..
0.88888888..
0.11111111..
...
for the purpose of creating an antidiagonal number not on the list, any
diagonal can be digit shuffled.
e.g. DIAG:0.46281.. <=> DIAG:0.12468..
FURTHERMORE, if the class of set/list used has the property the list
contains ALL reals from k/9,
*** THE DIAGONAL DOES NOT GIVE _ANY_ INFORMATION ABOUT THE LIST ***
Herc
.
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